Disintegration of beauty: a precision study
Abstract We update the Standard Model (SM) predictions for B-meson lifetimes within the heavy quark expansion (HQE). Including for the first time the contribution of the Darwin operator, SU(3) F breaking corrections to the matrix element of dimension-six four-quark operators and the so-called eye-co...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2023)004 |
| _version_ | 1797836706266742784 |
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| author | Alexander Lenz Maria Laura Piscopo Aleksey V. Rusov |
| author_facet | Alexander Lenz Maria Laura Piscopo Aleksey V. Rusov |
| author_sort | Alexander Lenz |
| collection | DOAJ |
| description | Abstract We update the Standard Model (SM) predictions for B-meson lifetimes within the heavy quark expansion (HQE). Including for the first time the contribution of the Darwin operator, SU(3) F breaking corrections to the matrix element of dimension-six four-quark operators and the so-called eye-contractions, we obtain for the total widths Γ B + = 0.58 − 0.07 + 0.11 ps − 1 , Γ B d = 0.63 − 0.07 + 0.11 ps − 1 , Γ B s = 0.63 − 0.07 + 0.11 ps − 1 $$ \Gamma \left({B}^{+}\right)=\left({0.58}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1},\Gamma \left({B}_d\right)=\left({0.63}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1},\Gamma \left({B}_s\right)=\left({0.63}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1} $$ , and for the lifetime ratios τ(B +)/τ(B d ) = 1.086 ± 0.022, τ(B s )/τ(B d ) = 1.003 ± 0.006 (1.028 ± 0.011). The two values for the last observable arise from using two different sets of input for the non-perturbative parameters μ π 2 B d , μ G 2 B d $$ {\mu}_{\pi}^2\left({B}_d\right),{\mu}_G^2\left({B}_d\right) $$ , and ρ D 3 B d $$ {\rho}_D^3\left({B}_d\right) $$ as well as from different estimates of the SU(3) F breaking in these parameters. Our results are overall in very good agreement with the corresponding experimental data, however, there seems to emerge a tension in τ(B s )/τ(B d ) when considering the second set of input parameters. Specifically, this observable is extremely sensitive to the size of the parameter ρ D 3 B d $$ {\rho}_D^3\left({B}_d\right) $$ and of the SU(3) F breaking effects in μ π 2 , μ G 2 $$ {\mu}_{\pi}^2,{\mu}_G^2 $$ and ρ D 3 $$ {\rho}_D^3 $$ ; hence, it is of utmost importance to be able to better constrain all these parameters. In this respect, an extraction of μ π 2 B s , μ G 2 B s , ρ D 3 B s $$ {\mu}_{\pi}^2\left({B}_s\right),{\mu}_G^2\left({B}_s\right),{\rho}_D^3\left({B}_s\right) $$ from future experimental data on inclusive semileptonic B s -meson decays or from direct non-perturbative calculations, as well as more insights about the value of ρ D 3 B $$ {\rho}_D^3(B) $$ extracted from fits to inclusive semileptonic B-decays, would be very helpful in reducing the corresponding theory uncertainties. |
| first_indexed | 2024-04-09T15:13:16Z |
| format | Article |
| id | doaj.art-c43753d155d2449da342e76f751b3d88 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:13:16Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c43753d155d2449da342e76f751b3d882023-04-30T11:03:58ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023113410.1007/JHEP01(2023)004Disintegration of beauty: a precision studyAlexander Lenz0Maria Laura Piscopo1Aleksey V. Rusov2Physik Department, Universität SiegenPhysik Department, Universität SiegenPhysik Department, Universität SiegenAbstract We update the Standard Model (SM) predictions for B-meson lifetimes within the heavy quark expansion (HQE). Including for the first time the contribution of the Darwin operator, SU(3) F breaking corrections to the matrix element of dimension-six four-quark operators and the so-called eye-contractions, we obtain for the total widths Γ B + = 0.58 − 0.07 + 0.11 ps − 1 , Γ B d = 0.63 − 0.07 + 0.11 ps − 1 , Γ B s = 0.63 − 0.07 + 0.11 ps − 1 $$ \Gamma \left({B}^{+}\right)=\left({0.58}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1},\Gamma \left({B}_d\right)=\left({0.63}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1},\Gamma \left({B}_s\right)=\left({0.63}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1} $$ , and for the lifetime ratios τ(B +)/τ(B d ) = 1.086 ± 0.022, τ(B s )/τ(B d ) = 1.003 ± 0.006 (1.028 ± 0.011). The two values for the last observable arise from using two different sets of input for the non-perturbative parameters μ π 2 B d , μ G 2 B d $$ {\mu}_{\pi}^2\left({B}_d\right),{\mu}_G^2\left({B}_d\right) $$ , and ρ D 3 B d $$ {\rho}_D^3\left({B}_d\right) $$ as well as from different estimates of the SU(3) F breaking in these parameters. Our results are overall in very good agreement with the corresponding experimental data, however, there seems to emerge a tension in τ(B s )/τ(B d ) when considering the second set of input parameters. Specifically, this observable is extremely sensitive to the size of the parameter ρ D 3 B d $$ {\rho}_D^3\left({B}_d\right) $$ and of the SU(3) F breaking effects in μ π 2 , μ G 2 $$ {\mu}_{\pi}^2,{\mu}_G^2 $$ and ρ D 3 $$ {\rho}_D^3 $$ ; hence, it is of utmost importance to be able to better constrain all these parameters. In this respect, an extraction of μ π 2 B s , μ G 2 B s , ρ D 3 B s $$ {\mu}_{\pi}^2\left({B}_s\right),{\mu}_G^2\left({B}_s\right),{\rho}_D^3\left({B}_s\right) $$ from future experimental data on inclusive semileptonic B s -meson decays or from direct non-perturbative calculations, as well as more insights about the value of ρ D 3 B $$ {\rho}_D^3(B) $$ extracted from fits to inclusive semileptonic B-decays, would be very helpful in reducing the corresponding theory uncertainties.https://doi.org/10.1007/JHEP01(2023)004Bottom QuarksSemi-Leptonic Decays |
| spellingShingle | Alexander Lenz Maria Laura Piscopo Aleksey V. Rusov Disintegration of beauty: a precision study Journal of High Energy Physics Bottom Quarks Semi-Leptonic Decays |
| title | Disintegration of beauty: a precision study |
| title_full | Disintegration of beauty: a precision study |
| title_fullStr | Disintegration of beauty: a precision study |
| title_full_unstemmed | Disintegration of beauty: a precision study |
| title_short | Disintegration of beauty: a precision study |
| title_sort | disintegration of beauty a precision study |
| topic | Bottom Quarks Semi-Leptonic Decays |
| url | https://doi.org/10.1007/JHEP01(2023)004 |
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